Energy Levels and Electron Wave-Functions of a Type of Lens-Shaped Artificial Atom

  • The Schrödinger equation for a type of artificial atom is solved,the expressions for the energy levels and the electron wave functions of this type of artificial atom are presented,and the Rydberg states of the artificial atom are also discussed in detail.
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  • [1] . Kastner M A. Phys. Today ,1993 ,46 :242. Bimberg D , Grundmann M, Ledentsov N N. Quantum Dot Hetersructures. New York : Wiely ,19983. Inoshita T, Ohnishi S ,Oshiyama A. Phys. Rev. Lett . ,1986 , 57 :25604. Tarucha S et al . Phys. Rev. Lett . ,1996 ,77 :36135. Kouwenhoven L P et al . Science ,1997 ,278 :17846. Ruvimov S et al . Phys. Rev. ,1995 ,B51 :147667. Pryor C. Phys. Rev. ,1998 ,B57 :71908. KimJ Y, Seok J H. Mat . Sci . and Eng. , 2002 ,B89 :1769. Sheng W,Leburton J-P. Phys. Rev. ,2003 ,B67 :12530810. Mui D S L et al . Appl . Phys. Lett . ,1995 ,66 :162011. Fry P W et al . Phys. Rev. Lett . ,2000 ,84 :73312. Heidemeyer H et al . Phys. Rev. Lett . ,2003 ,91 :19610313. PEI Q X, LU C , WANG Y Y. J . Appl . Phys. ,2003 ,93 :148714. WANG Z X, GUO D R. Introduction to Special Function. Beijing :Peking University Press , 2000. 306 (in Chinese)(王竹溪,郭敦仁. 特殊函数概论. 北京:北京大学出版社,2000.306)15. Morse P M, Feshbach H. Methods of Theoretical Physics. New York :Mc Graw Hill ,1953. 61116. ZENG J Y. Quantum Mechanics , Third Edition , Vol Ⅱ. Beijing : Science Press ,2000. 571 (in Chinese)(曾谨言. 量子力学,第三版,卷Ⅱ. 北京: 科学出版社, 2000.571)
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HOU Chun-Feng, GUO Ru-Hai and SUN Xiu-Dong. Energy Levels and Electron Wave-Functions of a Type of Lens-Shaped Artificial Atom[J]. Chinese Physics C, 2005, 29(3): 325-328.
HOU Chun-Feng, GUO Ru-Hai and SUN Xiu-Dong. Energy Levels and Electron Wave-Functions of a Type of Lens-Shaped Artificial Atom[J]. Chinese Physics C, 2005, 29(3): 325-328. shu
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Received: 2004-06-15
Revised: 1900-01-01
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Energy Levels and Electron Wave-Functions of a Type of Lens-Shaped Artificial Atom

    Corresponding author: HOU Chun-Feng,
  • Department of Physics,Harbin Institute of Technology,Harbin 150001

Abstract: The Schrödinger equation for a type of artificial atom is solved,the expressions for the energy levels and the electron wave functions of this type of artificial atom are presented,and the Rydberg states of the artificial atom are also discussed in detail.

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